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Finding the Third Proportional to 9,082.13 and 20,589.19

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Solution

The third proportional to 9,082.13 and 20,589.19 is: 46,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.13 : 20,589.19 = 20,589.19 : x
  2. Step 2: Convert to fraction form
    9,082.13/20,589.19 = 20,589.19/x
  3. Step 3: Cross multiply
    9,082.13x = 20,589.19 × 20,589.19
  4. Step 4: Simplify right side
    9,082.13x = 423,914,641.91
  5. Step 5: Solve for x
    x = 423,914,641.91/9,082.13
  6. Step 6: Final answer
    x = 46,675.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.